ELECTROTHERMO-RHEOLOGICAL PERISTALSIS: INVESTIGATING VELOCITY SLIP AND MODIFIED DARCY’S POROSITY EFFECTS

Abstract

This study examines velocity slip and modified Darcy's porosity in an incompressible Carreau material flowing through an inclined channel under the influence of electroosmotic peristalsis. Modified Darcy's resistance, Gauss's law, and Carreau model equations are utilized in the fundamental equations of motion, Poisson's equation, and heat transfer equation. The objectives and methodology of the study are specified in order to effectively discuss the model results. The governing equations are susceptible to long wave and Debye-Huckle approximations. The non-dimensionalized equations identify controlling variables that facilitate the detection of temperature, velocity, and pressure gradients. Mathematica is used to solve the resultant nonlinear problem in order to analyze the variation in physical quantities of interest and temperature in the Carreau fluid flow pattern. The investigation provides primary findings, including quantitative statistics regarding velocity slip, modified Darcy's porosity, and temperature distribution. The results of the nonlinear system are graphically analyzed and discussed. It is noticed that higher values of electroosmotic parameter cause a decrease in temperature profiles, while a rise in Darcy's number causes a rise in the axial velocity's magnitude. Understanding the behaviors of Carreau fluids under the influence of electroosmotic peristalsis has potential applications in a vast array of biological microfluidic devices.